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On Multi-Metric Spaces

Linfan Mao

math.GMarXiv:math/0510480

Abstract

A Smarandache multi-space is a union of n spaces A1,A2,..., An with some additional conditions holding. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric space is introduced. Some characteristics of a multi-metric space are obtained and Banach's fixed-point theorem is generalized in this paper.

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